3. Rental car companies typically offer customers a variety of fueling options when they rent a car. The following describe the options offered by Avis: 0 Fuel Service Option: Pay in advance for a full tank of fuel and bring the car back empty. If you select this option, you should bring the car back as close to empty as possible because no credit or refund will be given for unused fuel 0 EZFuelT'\" and Fuel Service Charge: If you do not choose the Fuel Service Option, and you bring the car back less than full, you'll pay a fuel service charge at the per gallon rate stated on your rental agreement 0 Self-Service Option: If you aren't sure how far you'll be driving but plan to stop for gas, don't accept the fuel service option. Simply bring the car back with a full tank, provide a receipt for your fuel purchase, and you'll avoid any refueling service charges. On a recent trip to Denver, Sanjay Juneja rented a compact car with a l2gallon fuel tank. His demand for gasoline on this particular trip is Q = 16 4P where P is the price per gallon (in dollars), and Q is the quantity ofgallons of gasoline. Sanjay ruled out the EZFuel'M and Fuel Service Charge option after seeing that the price per gallon on at the Denver Avis location was $5.00 per gallon. This left him with a choice between the Fuel Service Option and self-service. (Note: rental cars always come with a full tank ofgas when picked up at the rental site. The fuel options concern how the fuel used during the trip is paid for.) a. With the Self-Service Option, Sanjay expected to pay the local Denver market price for gasoline at stations near the airport (where he would fill up the tank before returning the rental car). The price per gallon at the time of his trip was $2.50. With the Fuel Service Option, the customer pays for a full tank of gas in advance (and can return the car with an empty gas tank). To make this option attractive, Avis sets the price of gas below the price in the Denver marketat the time of Sanjay's trip, Avis charged $2.00 per gallon under the Fuel Service Option Under each ofthe remaining two options, how many gallons of gas would Sanjay use? How much would he spend in total on gasoline? What would be his average price per gallon? Total Expenditure Ave. Price per Gallon SelfService Option Fuel Service I b. Graphically illustrate each of the options. c. Under which option is Sanjay best off? Explain